number.wiki
Live analysis

1,052,142

1,052,142 is a composite number, even.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

1,052,142 (one million fifty-two thousand one hundred forty-two) is an even 7-digit number. It is a composite number with 64 divisors, and factors as 2 × 3 × 7 × 13 × 41 × 47. Its proper divisors sum to 1,657,362, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x100DEE.

Abundant Number Arithmetic Number Cube-Free Evil Number Practical Number Semiperfect Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
15
Digit product
0
Digital root
6
Palindrome
No
Bit width
21 bits
Reversed
2,412,501
Square (n²)
1,107,002,788,164
Cube (n³)
1,164,724,127,544,447,288
Divisor count
64
σ(n) — sum of divisors
2,709,504
φ(n) — Euler's totient
264,960
Sum of prime factors
113

Primality

Prime factorization: 2 × 3 × 7 × 13 × 41 × 47

Nearest primes: 1,052,141 (−1) · 1,052,179 (+37)

Divisors & multiples

All divisors (64)
1 · 2 · 3 · 6 · 7 · 13 · 14 · 21 · 26 · 39 · 41 · 42 · 47 · 78 · 82 · 91 · 94 · 123 · 141 · 182 · 246 · 273 · 282 · 287 · 329 · 533 · 546 · 574 · 611 · 658 · 861 · 987 · 1066 · 1222 · 1599 · 1722 · 1833 · 1927 · 1974 · 3198 · 3666 · 3731 · 3854 · 4277 · 5781 · 7462 · 8554 · 11193 · 11562 · 12831 · 13489 · 22386 · 25051 · 25662 · 26978 · 40467 · 50102 · 75153 · 80934 · 150306 · 175357 · 350714 · 526071 (half) · 1052142
Aliquot sum (sum of proper divisors): 1,657,362
Factor pairs (a × b = 1,052,142)
1 × 1052142
2 × 526071
3 × 350714
6 × 175357
7 × 150306
13 × 80934
14 × 75153
21 × 50102
26 × 40467
39 × 26978
41 × 25662
42 × 25051
47 × 22386
78 × 13489
82 × 12831
91 × 11562
94 × 11193
123 × 8554
141 × 7462
182 × 5781
246 × 4277
273 × 3854
282 × 3731
287 × 3666
329 × 3198
533 × 1974
546 × 1927
574 × 1833
611 × 1722
658 × 1599
861 × 1222
987 × 1066
First multiples
1,052,142 · 2,104,284 (double) · 3,156,426 · 4,208,568 · 5,260,710 · 6,312,852 · 7,364,994 · 8,417,136 · 9,469,278 · 10,521,420

Sums & aliquot sequence

As consecutive integers: 350,713 + 350,714 + 350,715 263,034 + 263,035 + 263,036 + 263,037 150,303 + 150,304 + … + 150,309 87,673 + 87,674 + … + 87,684
Aliquot sequence: 1,052,142 1,657,362 2,130,990 3,021,906 3,090,894 3,090,906 6,102,054 9,527,274 11,644,566 12,274,458 15,781,542 25,400,154 29,308,038 31,625,562 32,217,990 61,785,210 86,865,990 — unresolved within range

Continued fraction of √n

√1,052,142 = [1025; (1, 2, 1, 5, 2, 1, 25, 1, 22, 1, 1, 1, 1, 1, 1, 1, 1, 16, 2, 1, 32, 2, 2, 2, …)]

Period length 54 — the block in parentheses repeats forever.

Representations

In words
one million fifty-two thousand one hundred forty-two
Ordinal
1052142nd
Binary
100000000110111101110
Octal
4006756
Hexadecimal
0x100DEE
Base64
EA3u
One's complement
4,293,915,153 (32-bit)
Scientific notation
1.052142 × 10⁶
As a duration
1,052,142 s = 12 days, 4 hours, 15 minutes, 42 seconds
In other bases
ternary (3) 1222110021020
quaternary (4) 10000313232
quinary (5) 232132032
senary (6) 34315010
septenary (7) 11641320
nonary (9) 1873236
undecimal (11) 659543
duodecimal (12) 428a66
tridecimal (13) 2aab90
tetradecimal (14) 1d5610
pentadecimal (15) 15bb2c

As an angle

1,052,142° = 2,922 × 360° + 222°
222° ≈ 3.875 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓏺𓏺
Chinese
一百零五萬二千一百四十二
Chinese (financial)
壹佰零伍萬貳仟壹佰肆拾貳
In other modern scripts
Eastern Arabic ١٠٥٢١٤٢ Devanagari १०५२१४२ Bengali ১০৫২১৪২ Tamil ௧௦௫௨௧௪௨ Thai ๑๐๕๒๑๔๒ Tibetan ༡༠༥༢༡༤༢ Khmer ១០៥២១៤២ Lao ໑໐໕໒໑໔໒ Burmese ၁၀၅၂၁၄၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1052142, here are decompositions:

  • 5 + 1052137 = 1052142
  • 23 + 1052119 = 1052142
  • 31 + 1052111 = 1052142
  • 43 + 1052099 = 1052142
  • 59 + 1052083 = 1052142
  • 79 + 1052063 = 1052142
  • 101 + 1052041 = 1052142
  • 103 + 1052039 = 1052142

Showing the first eight; more decompositions exist.

Hex color
#100DEE
RGB(16, 13, 238)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.13.238.

Address
0.16.13.238
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.13.238

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible date

Could be parsed as a date. Most likely interpretation: Friday, January 5, 2142 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 2142-05-01 (DMMYYYY (Euro, single-digit day))
  • 2142-10-05 (MMDYYYY (US, single-digit day))
  • 2142-05-10 (DDMYYYY (Euro, single-digit month))
Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 1,052,142 and was likely granted around 1912.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.